Least Common Multiple of 4138 and 4144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4138 and 4144 the smallest integer that is 8573936 that is divisible by both numbers.

Least Common Multiple (LCM) of 4138 and 4144 is 8573936.

LCM(4138,4144) = 8573936

LCM of 4138 and 4144

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4138 and 4144

LCM of 4138 and 4144 is 8573936

Least common multiple can be found by multiplying the highest exponent prime factors of 4138 and 4144. First we will calculate the prime factors of 4138 and 4144.

Prime Factorization of 4138


2 4138
2069 2069
1

Prime factors of 4138 are 2,2069. Prime factorization of 4138 in exponential form is:

4138 = 21×20691

Prime Factorization of 4144


2 4144
2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 4144 are 2, 7,37. Prime factorization of 4144 in exponential form is:

4144 = 24×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4138 and 4144.

LCM(4138,4144) = 24×71×371×20691
LCM(4138,4144) = 8573936

Factors of 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1, 2, 2069, 4138

Factors of 4144

List of positive integer factors of 4144 that divides 4144 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144

Least Common Multiple of 4138 and 4144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4138 and 4144, than apply into the LCM equation.

GCF(4138,4144) = 2
LCM(4138,4144) = ( 4138 × 4144) / 2
LCM(4138,4144) = 17147872 / 2
LCM(4138,4144) = 8573936

Properties of LCM 4138 and 4144

(i) The LCM of 4144 and 4138 is associative

LCM of 4138 and 4144 = LCM of 4144 and 4138

Related Least Common Multiples of 4138

Related Least Common Multiples of 4144

Frequently Asked Questions on LCM of 4138 and 4144

1. What is the LCM of 4138 and 4144?

Answer: LCM of 4138 and 4144 is 8573936.

2. What are the Factors of 4138?

Answer: Factors of 4138 are 1, 2, 2069, 4138. There are 4 integers that are factors of 4138. The greatest factor of 4138 is 4138.

3. What are the Factors of 4144?

Answer: Factors of 4144 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144. There are 20 integers that are factors of 4144. The greatest factor of 4144 is 4144.

4. How to Find the LCM of 4138 and 4144?

Answer:

Least Common Multiple of 4138 and 4144 = 8573936

Step 1: Find the prime factorization of 4138

4138 = 2 x 2069

Step 2: Find the prime factorization of 4144

4144 = 2 x 2 x 2 x 2 x 7 x 37

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 8573936 = 2 x 2 x 2 x 2 x 7 x 37 x 2069

Step 4: Therefore, the least common multiple of 4138 and 4144 is 8573936.